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Unformatted text preview: March 4, 2005 Announcements Homework #8 (Week 9 Problems) (Covers 9.1, 9.3 and 9.4; see web for assignment) Due Tuesday, March 8 - will not be collected. K. Ross has changed her office hours for the rest of the quarter to Monday 4:30pm-5:30pm MSC, and Wednesday 4:30pm-5:30pm MSC. Math 125 Final Exam: Saturday, March 12, 2005, 1:30pm - 4:20pm in GUG 224 Today 9.3 More on Mixing Problems 9.4 Exponential Growth and Decay 1 9.3 Problem # 40 A tank contains 1000L of pure water. Brine that contains 0.05 kg of salt per liter enters the tank at a rate of 5 L/min. Brine that contains 0.04 kg of salt per liter enters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15 L/min. How much salt is in the tank: after t minutes? after one hour? Exponential growth and decay The solution of the initial value problem dy dt = ky y (0) = y is (1) y ( t ) = y e kt Radioactive decay Radioactive substances decay by spontaneously...
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